I've used VHB clear tape to bond pieces of acrylic for a sign I was working on. Once the pieces are taped together and left to cure for a couple of days, it was inpossible to pull them apart. The 2 pieces acted as one. I've never tried it with wood, but I am thinking about using it to bond small pieces of metal together for my expanding round table project.
This stuff is very expensive, so you don't want to mess up when applying it.
Cheers,
JC